Question

5/9 of the animals in the pet show are dogs 3/5 of the dogs are poodles what fraction of the animals in the pet show are poodles

Answer 1

1/3

Explanation:

You want to know the fraction that are poodles when 5/9 of animals are dogs, and 3/5 of dogs are poodles.

Substitution

We can write the equations ...

dogs = (5/9)·(animals)

poodles = (3/5)·(dogs)

Using the first equation to substitute into the second, we get ...

poodles = (3/5)·(5/9)·(animals) = 3/9·animals = 1/3·animals

Fraction

Then the fraction that are animals is found by dividing by "animals":

poodles/animals = 1/3

1/3 of the animals in the pet show are poodles.